According to this article about the recent balloon event, the NSTB will try to interrogate personal electronic devices for any related data. Since some of these mentioned in the briefing do not contain cameras, they may look for accelerometer, gyro, and altimeter data that may have been captured automatically. Chips for these are commonly found in cell phones, tablets and other personal monitoring devices.
Standardization, performance and reliability are only some of the things that a NTSB-recognized voluntary flight recording device would need. Is there any mechanism or regulatory pathway for a standardized yet voluntary flight recorder for balloons, or would it have to be all-or-nothing - required, regulated, and therefore in the end substantially more expensive?
According to this recent WSJ article:
More than two years ago, the NTSB urged tighter regulation of balloons carrying passengers. Without such changes, the safety board said in a April 7, 2014, letter, “the potential for a high number of fatalities in a single air tour balloon accident is of particular concern.”
Currently, passenger balloons do not file flight plans (see this question and associated answers), and while transponders for balloons may exist they are not required, nor is any passive reflection enhancement for radar.